Crossing probabilities of multiple Ising interfaces

Eveliina Peltola; Hao Wu

doi:10.1214/22-AAP1888

Crossing probabilities of multiple Ising interfaces

Eveliina Peltola, Hao Wu

Tsinghua University

Research output: Contribution to journal › Article › Scientific › peer-review

2 Citations (Scopus)

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Abstract

We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invariant expressions given by the pure partition functions of multiple SLEκ with κ=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory.

Original language	English
Pages (from-to)	3169-3206
Number of pages	38
Journal	Annals of Applied Probability
Volume	33
Issue number	4
DOIs	https://doi.org/10.1214/22-AAP1888
Publication status	Published - Aug 2023
MoE publication type	A1 Journal article-refereed

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10.1214/22-AAP1888Licence: CC BY

SCI_Peltola_etal_The_Annals_of_Applied_Probability_2023Final published version, 1.06 MBLicence: CC BY

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abstract = "We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invariant expressions given by the pure partition functions of multiple SLEκ with κ=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory.",

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Crossing probabilities of multiple Ising interfaces

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Peltola Eveliina AT-palkka: Satunnaisgeometrian konformi-invarianssi

First Peltola: Finnish centre of excellence in Randomness and STructures

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Crossing probabilities of multiple Ising interfaces

Abstract

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Peltola Eveliina AT-palkka: Satunnaisgeometrian konformi-invarianssi

First Peltola: Finnish centre of excellence in Randomness and STructures

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